JEE Main 2021 Mathematics question

MathematicsProbabilityJEE Main 2021

Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 – k), the probability that exactly one of B and C occurs is (1 – 2k), the probability that exactly one of C and A occurs is (1 – k) and the probability of all A, B and C occur simultaneously is , where 0 < k < 1. Then the probability that at least one of A, B and C occur is :

Answer: (B)

Solution

Question ID VK-019064